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arXiv · 1010.6121

Dokuchaev, N.G. The integral estimations for ordinary differential equations with a discontinuity on a domain boundary

Nikolai Dokuchaev
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Abstract

The paper studies solutions of ODEs killed on the domain boundary and their first exit times from the domain. Some regularity is obtained in the form of estimates of L_2-norm for functionals on solutions and the first exit times. Some regularity properties for the density of solutions killed on the boundary is also studied for the case of random initial conditions.

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Nikolai Dokuchaev. 2010-10-29. Dokuchaev, N.G. The integral estimations for ordinary differential equations with a discontinuity on a domain boundary. https://arxiv.org/abs/1010.6121

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